Question

# A man uses $$\dfrac {1}{3}$$ of his land for growing mangoes, $$\dfrac {1}{4}$$  for bananas, $$\dfrac {3}{8}$$ for apples and the remaining $$18$$ hectares for oranges.(b) how much land does he use for growing apples?

Solution

## Let the total land in hectares be $$x$$,According to question,$$\dfrac{x}{3}+\dfrac{x}{4}+\dfrac{3x}{8}+18=x$$$$\implies \dfrac{x}{24}=18$$$$\implies x=432$$Hence, land use for apples $$=\dfrac{3\times432}{8}=162\ hectares$$Mathematics

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